Multiple attribute decision-making method based on some normal neutrosophic Bonferroni mean operators

Neural Computing and Applications

Volumn 28, Issue 1, 2017, Pages 179-194

  Liu, Peide ^a,b   Li, Honggang ^b  

^a CIVIL AVIATION UNIVERSITY OF CHINA   (China)

^b SHANDONG UNIVERSITY OF FINANCE AND ECONOMICS   (China)

Author keywords

Multiple attribute decision making; Normal neutrosophic Bonferroni mean aggregation operator; Normal neutrosophic numbers

Indexed keywords

MATHEMATICAL OPERATORS;

ACCURACY FUNCTIONS; AGGREGATION OPERATOR; MULTIPLE ATTRIBUTE DECISION MAKING; NORMAL NEUTROSOPHIC NUMBERS; OPERATIONAL LAWS; SCORE FUNCTION;

DECISION MAKING;

EID: 84940707092     PISSN: 09410643     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00521-015-2048-z     Document Type: Article

References (38)

1. Churchman CW, Ackoff RL, Arnoff EL (1957) Introduction to operations research. Wiley, New York
2. Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–356
3. Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96
4. Smarandache F (1999) A unifying field in logics. Neutrosophy: neutrosophic probability, set and logic. American Research Press, Rehoboth
5. Mardani A, Jusoh A, Zavadskas EK (2015) Fuzzy multiple criteria decision-making techniques and applications—two decades review from 1994 to 2014. Expert Syst Appl 42(8):4126–4148
6. Kahraman C, Onar SC, Oztaysi B (2015) Fuzzy multicriteria decision-making: a literature review. Int J Comput Intell Syst 8(4):637–666
7. Wang H, Smarandache F, Zhang YQ et al (2005) Interval neutrosophic sets and logic: theory and applications in computing. Hexis, Phoenix
8. Ye J (2013) Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment. Int J Gen Syst 42(4):386–394
9. Ye J (2014) Single valued neutrosophic cross-entropy for multicriteria decision making problems. Appl Math Model 38(3):1170–1175
10. Ye J (2014) Vector similarity measures of simplified neutrosophic sets and their application in multicriteria decision making. Int J Fuzzy Syst 16(2):204–211
11. Ye J (2014) Multiple attribute group decision-making method with completely unknown weights based on similarity measures under single valued neutrosophic environment. J Intell Fuzzy Syst 27(6):2927–2935
12. Ye J (2014) Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making. J Intell Fuzzy Syst 26:165–172
13. Ridvan S, Ahmet K (2014) On similarity and entropy of neutrosophic soft sets. J Intell Fuzzy Syst 27(5):2417–2430
14. Bausys R, Zavadskas EK, Kaklauskas A (2015) Application of neutrosophic set to multicriteria decision making by COPRAS. J Econ Comput Econ Cybern Stud Res 2:91–106
15. Peng JJ, Wang JQ, Zhang HY (2014) An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets. Appl Soft Comput 25:336–346
16. Yang MS, Ko CH (1996) On a class of fuzzy c-numbers clustering procedures for fuzzy data. Fuzzy Sets Syst 84:49–60
17. Wang JQ, Li KJ, Zhang HY, Chen XH (2013) A score function based on relative entropy and its application in intuitionistic normal fuzzy multiple criteria decision making. J Intell Fuzzy Syst 25:567–576
18. Wang JQ, Li KJ (2012) Multi-criteria decision-making method based on induced intuitionistic normal fuzzy related aggregation operators. Int J Uncertain Fuzziness Knowl Based Syst 20:559–578
19. Wang JQ, Li KJ (2013) Multi-criteria decision-making method based on intuitionistic normal fuzzy aggregation operators. Syst Eng Theory Pract 33:1501–1508
20. Wang JQ, Zhou P, Li KJ, Zhang HY, Chen XH (2014) Multi-criteria decision-making method based on normal intuitionistic fuzzy induced generalized aggregation operator. TOP 22:1103–1122
21. Liu PD, Liu ZM, Zhang X (2014) Some intuitionistic uncertain linguistic heronian mean operators and their application to group decision making. Appl Math Comput 230:570–586
22. Liu PD (2013) Some generalized dependent aggregation operators with intuitionistic linguistic numbers and their application to group decision making. J Comput Syst Sci 79(1):131–143
23. Liu PD, Jin F (2012) Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making. Inf Sci 205:58–71
24. Liu PD, Chen YB, Chu YC (2014) Intuitionistic uncertain linguistic weighted Bonferroni OWA operator and its application to multiple attribute decision making. Cybern Syst 45(5):418–438
25. Liu PD (2014) Some Hamacher aggregation operators based on the interval-valued intuitionistic fuzzy numbers and their application to group decision making. IEEE Trans Fuzzy Syst 22(1):83–97
26. Liu PD, Zhang X, Jin F (2012) A multi-attribute group decision-making method based on interval-valued trapezoidal fuzzy numbers hybrid harmonic averaging operators. J Intell Fuzzy Syst 23(5):159–168
27. Peng JJ, Wang JQ, Wu XH (2015) Multi-valued neutrosophic sets and power aggregation operators with their applications in multi-criteria group decision-making problems. Int J Comput Intell Syst 8(2):345–363
28. Liu PD, Shi LL (2015) The generalized hybrid weighted average operator based on interval neutrosophic hesitant set and its application to multiple attribute decision making. Neural Comput Appl 26(2):457–471
29. Liu PD, Chu YC, Li YW (2014) Some generalized neutrosophic number hamacher aggregation operators and their application to group decision making. Int J Fuzzy Syst 16(2):242–255
30. Ye J (2015) Multiple attribute decision-making method based on the possibility degree ranking method and ordered weighted aggregation operators of interval neutrosophic numbers. J Intell Fuzzy Syst 28(3):1307–1317
31. Ye J (2014) Some aggregation operators of interval neutrosophic linguistic numbers for multiple attribute decision making. J Intell Fuzzy Syst 27(5):2231–2241
32. Bonferroni C (1950) Sulle medie multiple di potenze. Bolletino Matematica Italiana 5:267–270
33. Yager RR (2009) On generalized Bonferroni mean operators for multi-criteria aggregation. Int J Approx Reason 50:1279–1286
34. Yager RR (1988) On ordered weighted averaging aggregation operators in multi criteria decision making. IEEE Trans Syst Man Cybern 18:183–190
35. Choquet G (1953) Theory of capacities. Annales de l’Institut Fourier 5:131–296
36. Yager RR, Beliakov G, James S (2009) On generalized Bonferroni means. In: Proceedings of the Eurofuse workshop preference modelling and decision analysis, 16–18 September 2009
37. Beliakov G, James S, Mordelova J, Ruckschlossova T, Yager RR (2010) Generalized Bonferroni mean operators in multi-criteria aggregation. Fuzzy Sets Syst 161:2227–2242
38. Zhu B, Xu ZS, Xia MM (2010) Hesitant fuzzy geometric Bonferroni means. Inf Sci 205(1):72–85